Search a number
-
+
4670249805 = 35513457647
BaseRepresentation
bin1000101100101111…
…00101101101001101
3110001110220021100000
410112113211231031
534031040443210
62051231354513
7223506316434
oct42627455515
913043807300
104670249805
111a87263891
12aa4082a39
13595745730
1432438611b
151c501cac0
hex1165e5b4d

4670249805 has 96 divisors (see below), whose sum is σ = 9074467584. Its totient is φ = 2290622976.

The previous prime is 4670249803. The next prime is 4670249819. The reversal of 4670249805 is 5089420764.

It is a happy number.

It is not a de Polignac number, because 4670249805 - 21 = 4670249803 is a prime.

It is a super-2 number, since 2×46702498052 = 43622466482205076050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4670249803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7217992 + ... + 7218638.

It is an arithmetic number, because the mean of its divisors is an integer number (94525704).

Almost surely, 24670249805 is an apocalyptic number.

4670249805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4670249805 is a deficient number, since it is larger than the sum of its proper divisors (4404217779).

4670249805 is a wasteful number, since it uses less digits than its factorization.

4670249805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4670249805 is about 68339.2259613759. The cubic root of 4670249805 is about 1671.5269008086.

The spelling of 4670249805 in words is "four billion, six hundred seventy million, two hundred forty-nine thousand, eight hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 243 351 405 457 585 647 1053 1215 1371 1755 1941 2285 3159 3235 4113 5265 5823 5941 6855 8411 9705 12339 15795 17469 17823 20565 25233 29115 29705 37017 42055 52407 53469 61695 75699 87345 89115 111051 126165 157221 160407 185085 227097 262035 267345 295679 378495 481221 555255 681291 786105 802035 887037 1135485 1443663 1478395 2043873 2406105 2661111 3406455 3843827 4435185 7218315 7983333 10219365 11531481 13305555 19219135 23949999 34594443 39916665 57657405 71849997 103783329 119749995 172972215 311349987 359249985 518916645 934049961 1556749935 4670249805